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Simplifying 6(3x + 8) = 23 + -7x Reorder the terms: 6(8 + 3x) = 23 + -7x (8 * 6 + 3x * 6) = 23 + -7x (48 + 18x) = 23 + -7x Solving 48 + 18x = 23 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 48 + 18x + 7x = 23 + -7x + 7x Combine like terms: 18x + 7x = 25x 48 + 25x = 23 + -7x + 7x Combine like terms: -7x + 7x = 0 48 + 25x = 23 + 0 48 + 25x = 23 Add '-48' to each side of the equation. 48 + -48 + 25x = 23 + -48 Combine like terms: 48 + -48 = 0 0 + 25x = 23 + -48 25x = 23 + -48 Combine like terms: 23 + -48 = -25 25x = -25 Divide each side by '25'. x = -1 Simplifying x = -1
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